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Finding the Fourth Proportional to 4,654.29, 6,424.03 and 2,665.99

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Solution

The fourth proportional to 4,654.29, 6,424.03 and 2,665.99 is: 3,679.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,654.29 : 6,424.03 = 2,665.99 : x
  2. Step 2: Convert to fraction form
    4,654.29/6,424.03 = 2,665.99/x
  3. Step 3: Cross multiply
    4,654.29x = 6,424.03 × 2,665.99
  4. Step 4: Simplify right side
    4,654.29x = 17,126,399.74
  5. Step 5: Solve for x
    x = 17,126,399.74/4,654.29
  6. Step 6: Final answer
    x = 3,679.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.